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Finding the Fourth Proportional to 14,287.89, 21,414.42 and 10,129.08

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Solution

The fourth proportional to 14,287.89, 21,414.42 and 10,129.08 is: 15,181.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287.89 : 21,414.42 = 10,129.08 : x
  2. Step 2: Convert to fraction form
    14,287.89/21,414.42 = 10,129.08/x
  3. Step 3: Cross multiply
    14,287.89x = 21,414.42 × 10,129.08
  4. Step 4: Simplify right side
    14,287.89x = 216,908,373.33
  5. Step 5: Solve for x
    x = 216,908,373.33/14,287.89
  6. Step 6: Final answer
    x = 15,181.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.